-5/3 law
E1041767
The -5/3 law is a fundamental scaling rule in turbulence theory stating that, in the inertial subrange, the energy spectrum of turbulent flows decays proportionally to the wavenumber raised to the power of -5/3.
All labels observed (1)
| Label | Occurrences |
|---|---|
| -5/3 law canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13444034 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: -5/3 law Context triple: [Kolmogorov spectrum of turbulence, relatedConcept, -5/3 law]
-
A.
Child–Langmuir law
The Child–Langmuir law is a fundamental space-charge-limited current law in vacuum electronics that relates the current density between parallel electrodes to the applied voltage raised to the three-halves power.
-
B.
Sievers' law
Sievers' law is a historical phonological rule in Indo-European linguistics that explains the alternation between consonantal and vocalic forms of certain sounds (notably *y and *w) depending on the weight of the preceding syllable.
-
C.
Lusser's law
Lusser's law is a reliability engineering principle that states the overall reliability of a system is the product of the reliabilities of its individual components, highlighting how system reliability decreases as more components are added in series.
-
D.
Zipf's law
Zipf's law is an empirical statistical principle observing that in many datasets, such as word frequencies in natural language, the frequency of an item is inversely proportional to its rank in a frequency table.
-
E.
Szemerényi's law
Szemerényi's law is a sound law in Proto-Indo-European linguistics that explains the loss of certain final consonants with compensatory lengthening of the preceding vowel.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: -5/3 law Target entity description: The -5/3 law is a fundamental scaling rule in turbulence theory stating that, in the inertial subrange, the energy spectrum of turbulent flows decays proportionally to the wavenumber raised to the power of -5/3.
-
A.
Child–Langmuir law
The Child–Langmuir law is a fundamental space-charge-limited current law in vacuum electronics that relates the current density between parallel electrodes to the applied voltage raised to the three-halves power.
-
B.
Sievers' law
Sievers' law is a historical phonological rule in Indo-European linguistics that explains the alternation between consonantal and vocalic forms of certain sounds (notably *y and *w) depending on the weight of the preceding syllable.
-
C.
Lusser's law
Lusser's law is a reliability engineering principle that states the overall reliability of a system is the product of the reliabilities of its individual components, highlighting how system reliability decreases as more components are added in series.
-
D.
Zipf's law
Zipf's law is an empirical statistical principle observing that in many datasets, such as word frequencies in natural language, the frequency of an item is inversely proportional to its rank in a frequency table.
-
E.
Szemerényi's law
Szemerényi's law is a sound law in Proto-Indo-European linguistics that explains the loss of certain final consonants with compensatory lengthening of the preceding vowel.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
physical law
ⓘ
scaling law ⓘ turbulence theory concept ⓘ |
| appliesTo |
homogeneous isotropic turbulence
ⓘ
incompressible turbulence ⓘ turbulent flows ⓘ |
| approximationType | phenomenological law ⓘ |
| associatedWith |
Kolmogorov 1941 theory
ⓘ
linked to:
Kolmogorov spectrum of turbulence
|
| assumes |
high Reynolds number turbulence
ⓘ
local isotropy ⓘ scale separation between energy injection and dissipation ⓘ statistical stationarity ⓘ |
| basedOn |
Kolmogorov similarity hypotheses
ⓘ
linked to:
Kolmogorov spectrum of turbulence
|
| contrastWith |
exponential decay in dissipation range
ⓘ
k^(-3) spectrum in 2D enstrophy cascade ⓘ |
| describes |
energy spectrum of turbulence
ⓘ
inertial subrange scaling ⓘ |
| domain | wavenumber space ⓘ |
| field |
fluid dynamics
ⓘ
statistical physics ⓘ turbulence theory ⓘ |
| hasExponent | -5/3 ⓘ |
| historicalPeriod | 20th century turbulence research ⓘ |
| holdsApproximately | over intermediate wavenumbers between forcing and dissipation scales ⓘ |
| involves |
constant energy flux across scales
ⓘ
energy cascade from large to small scales ⓘ |
| mathematicalForm | E(k) ∝ ε^(2/3) k^(-5/3) ⓘ |
| parameter | energy dissipation rate ε ⓘ |
| predicts |
power-law decay of energy spectrum
ⓘ
self-similar cascade of kinetic energy ⓘ |
| relatedTo |
Kolmogorov microscale
ⓘ
linked to:
Kolmogorov microscales
dissipation range ⓘ energy-containing range ⓘ |
| relatesQuantity |
energy spectrum
ⓘ
wavenumber ⓘ |
| scaleInvariance | self-similar over inertial subrange ⓘ |
| statesThat | the energy spectrum E(k) scales as k^(-5/3) in the inertial subrange ⓘ |
| testedBy |
atmospheric boundary layer measurements
ⓘ
direct numerical simulations of turbulence ⓘ laboratory experiments ⓘ |
| usedIn |
astrophysical turbulence analysis
ⓘ
atmospheric turbulence modeling ⓘ engineering turbulence models ⓘ oceanic turbulence studies ⓘ |
| validIn | inertial subrange ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: -5/3 law Description of subject: The -5/3 law is a fundamental scaling rule in turbulence theory stating that, in the inertial subrange, the energy spectrum of turbulent flows decays proportionally to the wavenumber raised to the power of -5/3.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.